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Finding the Fourth Proportional to 10,411.88, 15,623.98 and 3,842.64

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Solution

The fourth proportional to 10,411.88, 15,623.98 and 3,842.64 is: 5,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.88 : 15,623.98 = 3,842.64 : x
  2. Step 2: Convert to fraction form
    10,411.88/15,623.98 = 3,842.64/x
  3. Step 3: Cross multiply
    10,411.88x = 15,623.98 × 3,842.64
  4. Step 4: Simplify right side
    10,411.88x = 60,037,330.51
  5. Step 5: Solve for x
    x = 60,037,330.51/10,411.88
  6. Step 6: Final answer
    x = 5,766.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.